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Schoenberg, J. (1946) Contributions to the Problems of Approximation of Equidistant Data by Analytic Functions, Quart. Applied Mathematics, 4, 45-99.

has been cited by the following article:

• TITLE: Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions

  AUTHORS: Parcha Kalyani, Mihretu Nigatu Lemma

  KEYWORDS: Seventh Order Boundary Value Problem, Boundary Value Problem, Ninth Degree Spline Function, Absolute Error

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.2, February 22, 2016

  ABSTRACT: In this article, we develop numerical method by constructing ninth degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems at different step lengths. The approximate solution is compared with the solution obtained by eighth degree splines and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving high order linear boundary value problems.